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We find evidence for a duality between the standard matrix formulations of M theory and a background independent theory which extends loop quantum gravity by replacing SU(2) with a supersymmetric and quantum group extension of SU(16). This…

High Energy Physics - Theory · Physics 2007-05-23 Lee Smolin

The light-like linear dilaton background represents a particularly simple time-dependent 1/2 BPS solution of critical type IIA superstring theory in ten dimensions. Its lift to M-theory, as well as its Einstein frame metric, are singular in…

High Energy Physics - Theory · Physics 2009-11-11 Ben Craps , Savdeep Sethi , Erik Verlinde

We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity limit of the supersymmetric matrix quantum mechanics describing D0-branes. The evidence for the conjecture consists of…

High Energy Physics - Theory · Physics 2009-07-09 T. Banks , W. Fischler , S. H. Shenker , L. Susskind

Matrix theory compactifications on tori have associated Yang-Mills theories on the dual tori with sixteen supercharges. A noncommutative description of these Yang-Mills theories based in deformation quantization theory is provided. We show…

High Energy Physics - Theory · Physics 2010-11-19 Hugo Garcia-Compean

We investigate Matrix theory in the large-N limit following the conjectured correspondence between Matrix theory and supergravity on the near-horizon limit of the D0-brane background. We analyze the complete fermionic spectrum of…

High Energy Physics - Theory · Physics 2009-10-31 Yasuhiro Sekino

We investigate generally covariant theories which admit a Fierz-Pauli mass term for metric perturbations around an arbitrary curved background. For this we restore the general covariance of the Fierz-Pauli mass term by introducing four…

High Energy Physics - Theory · Physics 2012-07-02 Lasma Alberte

The uniqueness theorems for general relativity and Yang-Mills theories can be circumvented by dropping the ubiquitous, yet often implicit, assumption that physical fields, such as the spacetime metric, are fundamental. The novel concept of…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Erick I. Duque

Large N gauge theories have so called Gross-Witten phase transitions which typically can occur in finite volume systems. In this paper we relate these transitions in supersymmetric gauge theories to transitions that take place between black…

High Energy Physics - Theory · Physics 2007-05-23 L. Susskind

We show that gravity cures the infra-red divergence of the Yang monopole when a proper definition of conserved quantities in curved backgrounds is used, i.e. the gravitating Yang monopole in cosmological Einstein theory has a finite mass in…

High Energy Physics - Theory · Physics 2008-12-30 Hakan Cebeci , Ozgur Sarioglu , Bayram Tekin

We consider a modified version of four-dimensional electrodynamics, which has a photonic Chern-Simons-like term with spacelike background vector in the action. Light propagation in curved spacetime backgrounds is discussed using the…

High Energy Physics - Theory · Physics 2008-12-18 E. Kant , F. R. Klinkhamer

Established fundamental physics can be described by fields, which are maps. The source of such a map is space-time, which can be curved due to gravity. The map itself needs to be curved in its gauge field part so as to describe interaction…

High Energy Physics - Theory · Physics 2015-10-28 Alexei Kotov , Thomas Strobl

The BFSS matrix model relates flat space M-theory to a large N limit of matrix quantum mechanics describing N D0-branes. M-theory, being a theory of gravity in flat space, has a rich infrared structure that includes various soft theorems…

High Energy Physics - Theory · Physics 2023-08-09 Adam Tropper , Tianli Wang

The large N Matrix model is studied with attention to the quantum fluctuations around a given diagonal background. Feynman rules are explicitly derived and their relation to those in usual Yang-Mills theory is discussed. Background…

High Energy Physics - Theory · Physics 2009-10-31 Hiroshige Kajiura , Akishi Kato , Sachiko Ogushi

We generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2 matter and ghost multiplets) exactly cancel to all loops. The remaining hermitian…

High Energy Physics - Theory · Physics 2013-09-26 W. Siegel

We study the massive Yang-Mills theory in which the mass term is added by hand. The standard perturbative approach suggests that the massless limit of this theory is not smooth. We confirm that this issue is related to the existence of…

High Energy Physics - Theory · Physics 2022-04-13 Anamaria Hell

We study stability of noncommutative spaces in matrix models and discuss the continuum limit which leads to noncommutative Yang-Mills theories (NCYM). It turns out that most of noncommutative spaces in bosonic models are unstable. This…

High Energy Physics - Theory · Physics 2009-02-23 Tatsuo Azeyanagi , Masanori Hanada , Tomoyoshi Hirata

We perform the dual transformation of the Yang-Mills theory in d=3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov

The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the viability of this idea, by applying it to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlo Rovelli , Simone Speziale

Boundary conditions play a crucial role in the path-integral approach to quantum gravity and quantum cosmology, as well as in the current attempts to understand the one-loop semiclassical properties of quantum field theories. Within this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ivan G. Avramidi , Giampiero Esposito

U(n) Yang-Mills theory on the fuzzy sphere S^2_N is quantized using random matrix methods. The gauge theory is formulated as a matrix model for a single Hermitian matrix subject to a constraint, and a potential with two degenerate minima.…

High Energy Physics - Theory · Physics 2008-11-26 Harold Steinacker